Are odd shaped quads ok?
A non-rectangular quad is fine. (Most times it is the only way to keep a mesh all quads). Just be sure to keep them convex quads.

However

There is almost* no need for the extra vertex and edge in there.

You can still get all quads simply by removing that vertex and using the surrounding four vertices to make the face.

*There is always the issue of edge flow. This image below shows the edge flow of the two different methods. Do note that the method on the right is much less prone to pinching.